Symplectic Non-Squeezing Theorems, Quantization of Integrable Systems, and Quantum Uncertainty

Simple item page
dc.creatorDe Gosson, Maurice
dc.date2006-02-22
dc.date.accessioned2026-07-07T07:02:59Z
dc.date.available2026-07-07T07:02:59Z
dc.descriptionThe ground energy level of an oscillator cannot be zero because of Heisenberg's uncertainty principle. We use methods from symplectic topology (Gromov's non-squeezing theorem, and the existence of symplectic capacities) to analyze and extend this heuristic observation to Liouville-integrable systems, and to propose a topological quantization scheme for such systems, thus extending previous results of ours.
dc.identifierhttps://arxiv.org/abs/math-ph/0602055
dc.identifierhttp://arxiv.org/abs/math-ph/0602055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108805
dc.subjectMathematical Physics
dc.subjectNA
dc.titleSymplectic Non-Squeezing Theorems, Quantization of Integrable Systems, and Quantum Uncertainty
dc.typetext

Files

Collections

arXiv